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Finding the Fourth Proportional to 5,235.66, 7,864.29 and 5,060.70

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Solution

The fourth proportional to 5,235.66, 7,864.29 and 5,060.70 is: 7,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.66 : 7,864.29 = 5,060.70 : x
  2. Step 2: Convert to fraction form
    5,235.66/7,864.29 = 5,060.70/x
  3. Step 3: Cross multiply
    5,235.66x = 7,864.29 × 5,060.70
  4. Step 4: Simplify right side
    5,235.66x = 39,798,812.40
  5. Step 5: Solve for x
    x = 39,798,812.40/5,235.66
  6. Step 6: Final answer
    x = 7,601.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.